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融合ARIMA模型和MCMC方法的非一致性设计洪水计算OA北大核心CSTPCD

Non-stationary design flood calculation via integrating ARIMA model and MCMC method

中文摘要英文摘要

常规非一致性频率分析方法在选择协变量、建立统计参数与协变量的函数关系方面均存在主观性,且仅获得设计洪水估计值,不能同时进行不确定性分析.为改进上述不足,建立了ARIMA-MCMC模型,在贝叶斯MCMC方法抽样过程中考虑统计参数拟合期内的时变性,进而对未来气候变化条件下的非一致性设计洪水频率分布模型参数进行抽样,基于参数后验分布进行设计洪水计算,并推求相应的置信区间.选取雅砻江流域小得石水文站作为分析对象,采用ARIMA-MCMC模型定量评估未来气候变化条件下小得石站设计洪水的变化情况.结果表明:基于ARIMA-MCMC方法的参数抽样收敛效果较好,3 种情景下的模型统计量D均小于显著水平5%的临界值;除SSP2-4.5 情景下P=0.1%和P=0.05%的设计值外,其他情况的设计最大日流量较历史期均明显增加,其中SSP1-2.6、SSP5-8.5 情景下的增幅分别为 7.1%~10.5%、13.9%~27.2%.本文建立的ARIMA-MCMC方法能够有效进行非一致性设计洪水频率分析.

Normal non-stationary hydrological frequency analysis methods are prone to subjectivity when selecting covariates and establishing the functional relationship between statistical parameters and covari-ates.Besides,these methods can only produce design flood estimations,lacking the ability of conducting simultaneous uncertainty analysis.To address the above shortcomings,the ARIMA-MCMC model was established by introducing the time-varying statistical parameters of the fitting period into the MCMC sam-pling process,then the parameter sampling for the non-stationary design flood frequency distribution mod-el was conducted under future climate change conditions.Based on the posterior distribution of the pa-rameters,the design flood frequency was calculated,and the corresponding confidence intervals were de-rived.Taking the Xiaodeshi Station in the Yalong River Basin as an example,the variation of design flood in the station under future climate change conditions was quantatively analyzed by ARIMA-MCMC model.The results show that the convergence effect of the parameter sampling based on ARIMA-MCMC method is excellent,and the values of D for all three scenarios are smaller than the critical value of 5%significance level.Except for the design values with P=0.1%and P=0.05%under scenario SSP2-4.5,the design daily maximum flow in other scenarios increased significantly compared to historical peri-ods,with the increases of 7.1%-10.5%and 13.9%-27.2%under the scenarios of SSP1-2.6 and SSP5-8.5,respectively.The ARIMA-MCMC method established in this study can effectively conduct the non-stationary design flood frequency analysis under changing conditions.

董立俊;董晓华;马耀明;魏冲;喻丹;薄会娟

三峡大学 水利与环境学院,湖北 宜昌 443002||水资源安全保障湖北省协同创新中心,湖北 武汉 430070中国科学院青藏高原研究所青藏高原地球系统科学国家重点实验室,北京 100101||兰州大学 大气科学学院,甘肃 兰州 730000||西藏珠穆朗玛特殊大气过程与环境变化国家野外科学观测研究站,西藏 定日 858200

地球科学

设计洪水ARIMA模型贝叶斯MCMC方法非一致性不确定性洪水频率分析

design floodARIMA modelBayesian MCMC methodnon-stationaryuncertaintyflood frequency analysis

《水资源与水工程学报》 2024 (002)

1-11,20 / 12

第二次青藏高原综合科学考察研究项目(2019QZKK0103);水电工程水文气象重大关键技术应用研究项目(DJ-ZDZX-016-02)

10.11705/j.issn.1672-643X.2024.02.01

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